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Finding the Fourth Proportional to 30,883.32, 46,324.98 and 12,411

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Solution

The fourth proportional to 30,883.32, 46,324.98 and 12,411 is: 18,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.32 : 46,324.98 = 12,411 : x
  2. Step 2: Convert to fraction form
    30,883.32/46,324.98 = 12,411/x
  3. Step 3: Cross multiply
    30,883.32x = 46,324.98 × 12,411
  4. Step 4: Simplify right side
    30,883.32x = 574,939,326.78
  5. Step 5: Solve for x
    x = 574,939,326.78/30,883.32
  6. Step 6: Final answer
    x = 18,616.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.